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Simplifying 8 + -3(2a + 1) = 5(a + 2) Reorder the terms: 8 + -3(1 + 2a) = 5(a + 2) 8 + (1 * -3 + 2a * -3) = 5(a + 2) 8 + (-3 + -6a) = 5(a + 2) Combine like terms: 8 + -3 = 5 5 + -6a = 5(a + 2) Reorder the terms: 5 + -6a = 5(2 + a) 5 + -6a = (2 * 5 + a * 5) 5 + -6a = (10 + 5a) Solving 5 + -6a = 10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 5 + -6a + -5a = 10 + 5a + -5a Combine like terms: -6a + -5a = -11a 5 + -11a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 5 + -11a = 10 + 0 5 + -11a = 10 Add '-5' to each side of the equation. 5 + -5 + -11a = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -11a = 10 + -5 -11a = 10 + -5 Combine like terms: 10 + -5 = 5 -11a = 5 Divide each side by '-11'. a = -0.4545454545 Simplifying a = -0.4545454545
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